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Oseledets splitting and invariant manifolds on fields of Banach spaces

Varzaneh, Mazyar Ghani; Riedel, S.

We prove a semi-invertible Oseledets theorem for cocycles acting on measurable fields of Banach spaces, i.e. we only assume invertibility of the base, not of the operator. As an application, we prove an invariant manifold theorem for nonlinear cocycles acting on measurable fields of Banach spaces.
Published in: Journal of Dynamics and Differential Equations, 10.1007/s10884-021-09969-1, Springer Nature